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<p>We describe of centroids of commutatively transitive groups and obtain a criterion for a group to be commutatively transitive. Based on this result, we describe the structures of centroids of lamplighter groups and free solvable groups.</p>

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Centroids of Commutatively Transitive Groups

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • A. V. Treier,
  • I. A. Chesnokov

摘要

We describe of centroids of commutatively transitive groups and obtain a criterion for a group to be commutatively transitive. Based on this result, we describe the structures of centroids of lamplighter groups and free solvable groups.